Question

Solve the equation. Check your solution.

$-5.2a=1.3$

Short answer

Solution of given equation is$a=-0.25$.

Step-by-step solution

Step 1.  Solve for value of a 

$-5.2a=1.3$

Dividing with $-5.2$on both sides, we get

$\begin{array}{c}\frac{-5.2a}{-5.2}=\frac{1.3}{-5.2}\\ a=\frac{1.3}{-5.2}\\ a=\left(-1\right)\frac{1.3}{5.2}\\ a=-0.25\end{array}$

Step 2. Verification of our solution

For checking our answer, substitute $a=-0.25$ in given equation $-5.2a=1.3$.

On substituting, we get

$\begin{array}{c}-5.2a=1.3\\ \left(-5.2\right)\left(-0.25\right)=1.3\\ 1.3=1.3\end{array}$

Step 3.  Conclusion

Here, both sides of above expression are equal.

So, our answer is true.